SOLUTION: I am trying to solve the following equation. Solving by substitution: 15x-10y=11 15y=-2+5x) please help!

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: I am trying to solve the following equation. Solving by substitution: 15x-10y=11 15y=-2+5x) please help!      Log On


   

Question 673080: I am trying to solve the following equation. Solving by substitution:
15x-10y=11
15y=-2+5x)
please help!
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
15x - 10y = 11
15y = -2 + 5x
...
rearrange the first equation as
15x = 11 + 10y
x = 11%2F15+%2B+10y%2F15
...
Plug into the second equation
15y = -2 + 5(11%2F15+%2B+10y%2F15)
15y = -2 + 11%2F3+%2B+10y%2F3
...
Multiply the entire equation by 3
45y = -6 + 11 + 10y
45y - 10y = -6 + 11
35y = 5
highlight_green%28y+=+5%2F35+=+1%2F7%29
...
Solve for x
15x+-+10%281%2F7%29+=+11
15x = 11+%2B+10%2F7
15x = 11%287%2F7%29+%2B+10%2F7
x = %2877%2F7%29%2F15+%2B+%2810%2F7%29%2F15
x = %2877%2F7%29%281%2F15%29+%2B+%2810%2F7%29%281%2F15%29
x = 77%2F105+%2B+10%2F105
highlight_green%28x+=+87%2F105%29
.....................
Delighted to help.
-Reading Boosters
Website: www.MyHomeworkAnswers.com
Wanting for others what we want for ourselves.